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Finding the Third Proportional to 53,946 and 72,110.25

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Solution

The third proportional to 53,946 and 72,110.25 is: 96,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,946 : 72,110.25 = 72,110.25 : x
  2. Step 2: Convert to fraction form
    53,946/72,110.25 = 72,110.25/x
  3. Step 3: Cross multiply
    53,946x = 72,110.25 × 72,110.25
  4. Step 4: Simplify right side
    53,946x = 5,199,888,155.06
  5. Step 5: Solve for x
    x = 5,199,888,155.06/53,946
  6. Step 6: Final answer
    x = 96,390.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.